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113235540 = 223511374637
BaseRepresentation
bin1101011111111…
…01011001010100
321220001221221220
412233331121110
5212442014130
615123010340
72543325525
oct657753124
9256057856
10113235540
1158a115a0
1231b099b0
131a5c8ca2
141107884c
159e1b410
hex6bfd654

113235540 has 96 divisors (see below), whose sum is σ = 355307904. Its totient is φ = 26703360.

The previous prime is 113235533. The next prime is 113235541. The reversal of 113235540 is 45532311.

It is a self number, because there is not a number n which added to its sum of digits gives 113235540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113235541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22102 + ... + 26738.

It is an arithmetic number, because the mean of its divisors is an integer number (3701124).

Almost surely, 2113235540 is an apocalyptic number.

113235540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113235540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177653952).

113235540 is an abundant number, since it is smaller than the sum of its proper divisors (242072364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113235540 is a wasteful number, since it uses less digits than its factorization.

113235540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4697 (or 4695 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 113235540 is about 10641.2189151431. The cubic root of 113235540 is about 483.7944907634.

Adding to 113235540 its reverse (45532311), we get a palindrome (158767851).

The spelling of 113235540 in words is "one hundred thirteen million, two hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4637 4884 6105 8140 9274 12210 13911 18548 23185 24420 27822 46370 51007 55644 69555 92740 102014 139110 153021 171569 204028 255035 278220 306042 343138 510070 514707 612084 686276 765105 857845 1020140 1029414 1530210 1715690 1887259 2058828 2573535 3060420 3431380 3774518 5147070 5661777 7549036 9436295 10294140 11323554 18872590 22647108 28308885 37745180 56617770 113235540